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Finding the Fourth Proportional to 6,910.90, 10,367.94 and 1,980.58

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Solution

The fourth proportional to 6,910.90, 10,367.94 and 1,980.58 is: 2,971.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,910.90 : 10,367.94 = 1,980.58 : x
  2. Step 2: Convert to fraction form
    6,910.90/10,367.94 = 1,980.58/x
  3. Step 3: Cross multiply
    6,910.90x = 10,367.94 × 1,980.58
  4. Step 4: Simplify right side
    6,910.90x = 20,534,534.61
  5. Step 5: Solve for x
    x = 20,534,534.61/6,910.90
  6. Step 6: Final answer
    x = 2,971.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.